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20314350 = 2325276449
BaseRepresentation
bin100110101111…
…1100011101110
31102020002001100
41031133203232
520200024400
62003223530
7334445340
oct115374356
942202040
1020314350
1110515521
126977ba6
134293534
1429ab290
151bb4100
hex135f8ee

20314350 has 72 divisors (see below), whose sum is σ = 62384400. Its totient is φ = 4642560.

The previous prime is 20314321. The next prime is 20314351. The reversal of 20314350 is 5341302.

20314350 is a `hidden beast` number, since 2 + 0 + 314 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (866450).

Almost surely, 220314350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31192200).

20314350 is an abundant number, since it is smaller than the sum of its proper divisors (42070050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20314350 is a wasteful number, since it uses less digits than its factorization.

20314350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20314350 is about 4507.1443287297. The cubic root of 20314350 is about 272.8565039060.

Adding to 20314350 its reverse (5341302), we get a palindrome (25655652).

The spelling of 20314350 in words is "twenty million, three hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 6449 12898 19347 32245 38694 45143 58041 64490 90286 96735 116082 135429 161225 193470 225715 270858 290205 322450 406287 451430 483675 580410 677145 812574 967350 1128575 1354290 1451025 2031435 2257150 2902050 3385725 4062870 6771450 10157175 20314350